Title: | A Dialogue between Additive Functions and Squared Rectangles |

Speaker: | Mingjia Yang, `13 Mathematics Major Mathematics and Computer Science Albion College Albion, Michigan |

Abstract: | Rectangles that can be partitioned into squares are called squared rectangles. This talk will demonstrate and prove one surprising property of squared rectangles: the ratio of width/length is rational! Which means, if we have a rectangle of width $\sqrt{2}$ and length 0.8 (of the same unit), then we know this rectangle cannot be squared! We will go over a proof of this result using additive functions. The proof itself is almost as beautiful as the result, since we see how different areas of mathematics interact with each other in a deep way. |

Location: | Palenske 227 |

Date: | 4/25/2013 |

Time: | 3:30 PM |

@abstract{MCS:Colloquium:MingjiaYang`13:2013:4:25, author = "{Mingjia Yang, `13}", title = "{A Dialogue between Additive Functions and Squared Rectangles}", address = "{Albion College Mathematics and Computer Science Colloquium}", month = "{25 April}", year = "{2013}" }